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Finding the Fourth Proportional to 409,853.80, 614,118.30 and 231,831.40

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Solution

The fourth proportional to 409,853.80, 614,118.30 and 231,831.40 is: 347,372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,853.80 : 614,118.30 = 231,831.40 : x
  2. Step 2: Convert to fraction form
    409,853.80/614,118.30 = 231,831.40/x
  3. Step 3: Cross multiply
    409,853.80x = 614,118.30 × 231,831.40
  4. Step 4: Simplify right side
    409,853.80x = 142,371,905,254.62
  5. Step 5: Solve for x
    x = 142,371,905,254.62/409,853.80
  6. Step 6: Final answer
    x = 347,372.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.